Question

a line segment having an end (5,-2) is divided by the point (8,4) in the ratio of 3;1 find the another end

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Answer 1

Answer:

Step-by-step explanation:

Here

let

x = 5 and y = -2

x' = 8 and y' = 4

and let the coordinates of unknown point be x" and y"

here let the ratio be

m:m' = 3:1

therefore,  m = 3

                    m' = 1

by section formula, we have

(x',y') = {m.x" + m'.x / m + m'} , { m.y" + m'.y / m+ m'}

therefore,

x' = ( 3x" + x / 4)

8 = (3x" + 5/4)

32 - 5 = 3x"

3x" = 27

x " = 9

also,

y' = ( 3y" + y / 4)

4 = (3y" + 4 / 4)

16 - 4 = 3y"

y" = 4

therefore the coordinates of required points are (9,4)

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Answer 2

Answer:

Step-by-step explanation: